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Kruka [31]
3 years ago
10

How do I add Rational Numbers I never really understand how my online school teaches it.

Mathematics
1 answer:
Leviafan [203]3 years ago
8 0

Answer:

1. To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator. ...

2. Write each expression using the LCD. ...

3. Add or subtract the numerators.

4. Simplify as needed.

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Philip rode his bicycle 9 2/5 miles per hour. if he rode for 3/4 of and hour, how many miles did he cover
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Answer:

Distance he covers in \frac{3}{4} of an hour = 7\frac{1}{20} miles.

Step-by-step explanation:

Phillip rode his bicycle at 9\frac{2}{5} miles per hour.

To find distance he covers in \frac{3}{4} of an hour.

Solution:

Speed at which Phillip rides = 9\frac{2}{5} miles per hour

Time for which he cycles = \frac{3}{4} of an hour

Distance covered in miles =Speed\times Time = 9\frac{2}{5} \times \frac{3}{4}

To multiply mixed numbers we need to convert them to fractions.

[A\frac{b}{c}=\frac{Ac+b}{c}]

9\frac{2}{5} \times \frac{3}{4}

⇒ \frac{(9\times 5)+2}{5} \times \frac{3}{4}

⇒ \frac{47}{5} \times \frac{3}{4}

Then we simply multiply the numerators and denominators.

⇒\frac{141}{20}

Then we convert back to mixed fraction by dividing numerator by denominator and writing the quotient as whole number with fraction (remainder as numerator and denominator being the divisor)

⇒ 7\frac{1}{20} miles.

∴ Distance he covers in \frac{3}{4} of an hour = 7\frac{1}{20} miles.

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